A photon has an energy of

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Applications and Interpretation · Number and Algebra · Number and Algebra

Problem

A photon has an energy of 4.50 eV4.50\,\text{eV}. A student calculates its frequency using the approximate value h=6.60×10−34 J sh = 6.60\times10^{-34}\,\text{J\,s} rather than the more precise h=6.626×10−34 J sh = 6.626\times10^{-34}\,\text{J\,s}. (Use 1 eV=1.602×10−19 J1\,\text{eV}=1.602\times10^{-19}\,\text{J}.) What is the percent error introduced in the student’s calculated frequency? (a) +1.0\% (b) +0.37\% (c) −0.37\% (d) +2.0\%

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